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1095241785444 = 223453210972
BaseRepresentation
bin11111111000000010111…
…11110110000001100100
310212201000021122102110000
433330001133312001210
5120421023344113234
62155051440301300
7142062053366622
oct17740137660144
93781007572400
101095241785444
11392542486a74
12158322311830
137c3860740c1
143b01d584512
151d752da9899
hexff017f6064

1095241785444 has 135 divisors (see below), whose sum is σ = 2920882499227. Its totient is φ = 357865762176.

The previous prime is 1095241785427. The next prime is 1095241785461. The reversal of 1095241785444 is 4445871425901.

The square root of 1095241785444 is 1046538.

It is a perfect power (a square), and thus also a powerful number.

1095241785444 is a `hidden beast` number, since 1 + 0 + 9 + 5 + 24 + 1 + 78 + 544 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (1095241785427) and next prime (1095241785461).

It can be written as a sum of positive squares in 4 ways, for example, as 37675044 + 1095204110400 = 6138^2 + 1046520^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 998396704 + ... + 998397800.

Almost surely, 21095241785444 is an apocalyptic number.

1095241785444 is the 1046538-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1095241785444

1095241785444 is an abundant number, since it is smaller than the sum of its proper divisors (1825640713783).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1095241785444 is an frugal number, since it uses more digits than its factorization.

1095241785444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2316 (or 1155 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 1095241785444 in words is "one trillion, ninety-five billion, two hundred forty-one million, seven hundred eighty-five thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 81 106 108 159 162 212 318 324 477 636 954 1097 1431 1908 2194 2809 2862 3291 4293 4388 5618 5724 6582 8427 8586 9873 11236 13164 16854 17172 19746 25281 29619 33708 39492 50562 58141 59238 75843 88857 101124 116282 118476 151686 174423 177714 227529 232564 303372 348846 355428 455058 523269 697692 910116 1046538 1203409 1569807 2093076 2406818 3081473 3139614 3610227 4709421 4813636 6162946 6279228 7220454 9244419 9418842 10830681 12325892 14440908 18488838 18837684 21661362 27733257 32492043 36977676 43322724 55466514 63780677 64984086 83199771 97476129 110933028 127561354 129968172 166399542 191342031 194952258 249599313 255122708 332799084 382684062 389904516 499198626 574026093 765368124 998397252 1148052186 1722078279 2296104372 3380375881 3444156558 5166234837 6760751762 6888313116 10141127643 10332469674 13521503524 20282255286 20664939348 30423382929 40564510572 60846765858 91270148787 121693531716 182540297574 273810446361 365080595148 547620892722 1095241785444